Mathematics
Catiee
19

PLEASE HELP!!! Solve for x.

+1
(2) Answers
jasminemcdonald

2/3x = 6/7 - 1/2 2/3x = 12/14 - 7/14 2/3x = 5/14 x = 5/14 . 3/2 x = 15/28

Jeannine785

Your answer is [latex]x= \frac{15}{28} [/latex] Here's the math: [latex] -\frac{6}{7}= -\frac{2}{3}x -\frac{1}{2} [/latex]..........................................Simplify [latex] \frac{2}{3} x [/latex] to [latex] \frac{2x}{3} [/latex] [latex] -\frac{6}{7} +\frac{1}{2} = -\frac{2x}{3} [/latex]..........................................Add [latex] \frac{1}{2} [/latex] to both sides [latex]- \frac{5}{14} = -\frac{2x}{3} [/latex]................................................Simplify [latex]- \frac{6}{7} + \frac{1}{2} [/latex] to [latex] -\frac{5}{14} [/latex] [latex] -\frac{5}{14} * 3 = -2x[/latex]..........................................Multiply both sides by 3 [latex] -\frac{15}{14} = -2x [/latex]................................................Simplify [latex] -\frac{5}{14} *3[/latex] to [latex] -\frac{15}{14} [/latex] [latex] -\frac{15}{14}/-2 = x[/latex]............................................Divide both sides by -2 [latex] \frac{15}{14} /2=x[/latex]....................................................Two negatives = a positive [latex] \frac{15}{14*2} =x[/latex].....................................................Simplify [latex] \frac{15}{14} /2[/latex] to [latex] \frac{15}{14*2} [/latex] [latex] \frac{15}{28} =x [/latex].........................................................Simplify [latex]14*2[/latex] to [latex]28[/latex] [latex]x = \frac{15}{28} [/latex]........................................................Switch sides Thank you for the question!! I hope this helped! :D Have an amazing day :)) 

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